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853507138931 = 411031072127139
BaseRepresentation
bin11000110101110001111…
…11010110010101110011
310000121001101021000202222
430122320333112111303
5102440440311421211
61452032404031255
7115443462656426
oct14327077262563
93017041230688
10853507138931
112a9a74590177
121194b999252b
13626404b5225
142d44a7919bd
1517305a041db
hexc6b8fd6573

853507138931 has 48 divisors (see below), whose sum is σ = 904619089920. Its totient is φ = 804635959680.

The previous prime is 853507138919. The next prime is 853507138963. The reversal of 853507138931 is 139831705358.

It is not a de Polignac number, because 853507138931 - 26 = 853507138867 is a prime.

It is a super-3 number, since 3×8535071389313 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (853507638931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6140339060 + ... + 6140339198.

It is an arithmetic number, because the mean of its divisors is an integer number (18846231040).

Almost surely, 2853507138931 is an apocalyptic number.

853507138931 is a deficient number, since it is larger than the sum of its proper divisors (51111950989).

853507138931 is a wasteful number, since it uses less digits than its factorization.

853507138931 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 53.

The spelling of 853507138931 in words is "eight hundred fifty-three billion, five hundred seven million, one hundred thirty-eight thousand, nine hundred thirty-one".

Divisors: 1 41 103 107 127 139 4223 4387 5207 5699 11021 11449 13081 13589 14317 14873 17653 451861 469409 536321 557149 586997 609793 723773 1179247 1399667 1454023 1531919 1591411 1818259 1888871 48349127 57386347 59614943 62808679 65247851 74548619 77443711 149764369 163915333 194553713 202109197 6140339129 6720528653 7976702233 8286477077 20817247291 853507138931